RT Journal Article
T1 Unexpected subspaces of tensor products
A1 Cabello Sánchez, Félix
A1 Pérez García, David
A1 Villanueva Díez, Ignacio
AB We describe complemented Copies Of l(2) both in C(K-1)circle times C-pi(K-2) when at least one of the compact spaces K-i is not scattered and in L-1(mu(1))circle times L-is an element of(1)(mu(2)) when at least one of the measures is not atomic. The corresponding local construction gives uniformly complemented copies of the l(2)(n) in c(0)circle times(pi)c(0.) We continue the study of c(0)(l(2)(n)) showing that it contains a complemented copy of Stegall's space c(0)(l(2)(n)) and proving that (c(0)circle times(pi)c(0))" is isomorphic to l infinity(l(infinity)(n)circle times(pi)l(infinity)(n)) together with other results. 2 In the last section we use Hardy spaces to find an isomorphic copy of L-p in the space of compact operators from L-q to L-r, where 1 < p, q, r < infinity and 1/r = 1/p + 1/q.
PB Oxford University Press
SN 0024-6107
YR 2006
FD 2006-10
LK https://hdl.handle.net/20.500.14352/49481
UL https://hdl.handle.net/20.500.14352/49481
LA eng
NO Cabello Sánchez, F., Pérez García, D. & Villanueva Dïez, I. «UNEXPECTED SUBSPACES OF TENSOR PRODUCTS». Journal of the London Mathematical Society, vol. 74, n.o 02, octubre de 2006, pp. 512-26. DOI.org (Crossref), https://doi.org/10.1112/S0024610706023118.
NO BMF
NO MTM
DS Docta Complutense
RD 11 abr 2025